Continuity of the Lyapunov Exponent for Analytic Multi-frequency Quasiperiodic Cocycles

被引：0

作者：

Powell, Matthew ^{[1
]}

机构：

[1] Georgia Inst Technol, Dept Math, Atlanta, GA 30332 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2024年 / 2024卷 / 23期

关键词：

POSITIVITY; SHIFTS;

D O I：

10.1093/imrn/rnae244

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that the Lyapunov exponent of analytic 1-frequency quasiperiodic cocycles is continuous in cocycle and, when the frequency is irrational, jointly in cocycle and frequency. In this paper, we extend a result of Bourgain to show the same continuity result for multifrequency quasiperiodic M (2, C) cocycles. Our corollaries include applications to multifrequency Jacobi cocycles with periodic background potentials.

引用

页码：14423 / 14463

页数：41

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